2. A 4-kg mass is attached to a spring with a spring constant of 8 N/m.(a) Suppose that if the spring is stretched or compressed, the system undergoes oscillations with frequencyf = 0.15 Hz and with decreasing amplitude. Compute the damping constant c. Note that f=w/(2T).(b) Assume now that no damping is present in the system and that the system starts out at equilibrium andat rest. A driving force of F(t) = 4e-t acts on the system and a unit impulse is imparted upon the system attime t = 2. Determine r(t), the position of the mass at time t.

Answered: Image /qna-images/answer/c95c31c1-2317-4dfb-8a77-fb087a030520.jpg

A 4-kg mass is attached to a spring with a spring constant of 8 N/m. (a) Suppose that if the spring is stretched or compressed, the system undergoes oscillations with frequency f = 0.15 Hz and with decreasing amplitude. Compute the damping constant c. Note that f = w/(2m). (b) Assume now that no damping is present in the system and that the system starts out at equilibrium and at rest. A driving force of F(t) = 4e-t acts on the system and a unit impulse is imparted upon the system at time t = 2. Determine r(t), the position of the mass at time t.

A 4-kg mass is attached to a spring with a spring constant of 8 N/m. (a) Suppose that if the spring is stretched or compressed, the system undergoes oscillations with frequency f = 0.15 Hz and with decreasing amplitude. Compute the damping constant c. Note that f = w/(2m). (b) Assume now that no damping is present in the system and that the system starts out at equilibrium and at rest. A driving force of F(t) = 4e-t acts on the system and a unit impulse is imparted upon the system at time t = 2. Determine r(t), the position of the mass at time t.